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3 years ago

Point G is the centroid of the right △ABC with hypotenuse AB=18 in. Find CG.

Mathematics

1 answer:

Rama09 [41]3 years ago

5 0

<h3>Answer:</h3>

6 in

<h3>Explanation:</h3>

Let M be the midpoint of AB. ∆CMB and ∆CMA are both isosceles triangles, so CM = (AB)/2 = 9 in.

CG = (2/3)(CM) = (2/3)(9 in)

CG = 6 in

_____

<em>Comment on centroid and median</em>

The centroid of a triangle is located 1/3 the distance from the midpoint of a side to the opposite vertex. This is true for any median in any triangle. The proof can be developed from the fact that every median divides the triangle's area in half. Here, we just take advantage of this fact.

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Three pies were made for a party. Each pie was cut into eight pieces. 3⁄8 of the apple pie was left. 1⁄2 of the cherry pie was l

miskamm [114]

Answer:

There are 13 pieces of pie left.

Step-by-step explanation:

So there are 3 pieces of apple pie left, there are 4 pieces of cherry pie left, and there are 6 pieces of pumpkin pie left. 3 + 4 + 6 = 13.

3/8 = 3 pieces because each fraction in this one equals one piece. So the numerator is how many left.

1/2= 4 because you just divide 8 by 2.

3/4 = 2 because you can multiply the fraction by 2 and get 6/8. Then the numerator is how many that's left.

I hope I helped.

3 0

3 years ago

1 point<br> Solve: 0.75 (x + 200) = 150.5 (2 – 28)<br> type your answer...

adelina 88 [10]

Answer:

$\huge \: x = - 5417.33$

Step-by-step explanation:

$0.75 (x + 200) = 150.5 (2 – 28) \\$

<u>Expand the terms and simplify</u>

That's

$0.75x + 150 = 301 - 4214 \\ 0.75x + 150 = - 3913$

Subtract 150 from both sides of the equation

$0.75x + 150 - 150 = - 3913 - 150 \\ 0.75x = - 4063$

<u>Divide both sides by 0.75</u>

$\frac{0.75x}{0.75} = - \frac{4063}{0.75} \\ x = - 5417.333333$

We have the final answer as

Hope this helps you

4 0

3 years ago

Which system of equations does this graph represent?

jeyben [28]

Answer:

Step-by-step explanation:

First, we can find the equation of the parabola. The standard form of a parabola is ax^2 + bx + c,

where c is the y-intercept. The y-intercept on the graph is -5, and every option starts with x^2, so the equation must be x^2 - 5. This rules out options 3 and 4.

Next, we can find the equation of the line. The options are all given in slope-intercept form: y = mx + b, where b is the y-intercept. The y-intercept on the graph is 1, and option 1 has 1 in the place of b. Therefore, option 1 is the answer.

7 0

3 years ago

(2p + 4) + 5 (p-1) - (p+7)

svetoff [14.1K]

<em>Your answer will be, </em><em>"6p - 8"</em>

Thanks,

<em>Deku ❤</em>

4 0

3 years ago

Read 2 more answers

Tell whether the angels are complementary or supplementary then find x

NNADVOKAT [17]

Answer:

Supplementary angles

x = 31

Step-by-step explanation:

Since, (3x + 25)° and 2x° are straight line angles. Therefore they are supplementary angles

(3x + 25)° + 2x° =180°

(5x + 25)° = 180°

5x + 25 = 180

5x = 180 - 25

5x = 155

x = 155/5

x = 31

8 0

3 years ago